Integration Using method of Partial Fractions

Integration Using method of Partial Fractions - A complete example! For more free math videos, visit http://PatrickJMT.com!

Category:

Education

Tags:

• Calculus
• Integration
• Partial
• Fractions
• math
• example
• integrate
• justmathtutoring.com
• decomposition
• equate
• coefficients

[Kratos0909]

this video is just incredible

[patrickJMT]

@Kratos0909 glad you like it ; )

[janedoherty101]

what if instead of the denominator having a squared expression it had a squared one? ie (x+1)^2 vs. (x+1)^1/2?

[patrickJMT]

@janedoherty101 do you mean a square root instead of a squared expression? if so, that totally changes the problem. it just depends on the problem at that point. in the case you mentioned though : (x+1)^1/2, you can do a rationalizing substitution in some situations

[wintermonie]

u didnt explain integration by partial fractions u just did an example ... i still dont get it :(

[patrickJMT]

@wintermonie ok

[patrickJMT]

@ryezizzle none. i studied.

[Neverdii]

thanks for being one of the only people willing to volunteer their time to help others with math! I wish there were more people motivated by helping others instead of by money like you...it's a huge help man, thanks a ton

[Alive4Metal]

where does the single x term come from? im confused

[mlcarter815]

@lilangel0072 Why are you such a douche?

[hmlsport]

@attentionwhoreusa, its A/X because when you break up the equation into partial fractions, the rule is to break up x^2 to (A/X)+(B/X^2) and so on, its just how the rule works for solving partial fractions

[attentionwhoreusa]

why is the first term A/x? shouldnt it be A/x^2 ? Where are u getting the lone x? thanks

[8644371]

Whoa-whoa-whoa! I got A=-1. And I did it the long way. And I checked it on my calcultor (I let x=2). [Also: I'm viewing this on my iPod Touch. So: if there are any annotations correcting this or a lot of older comments already pointing this out. Then my bad. I can't see it.]

[MultiMoe91]

is the corrected video available?

if yes please link me, appreciate it :)

[trese0000]

Patrick! You just don't know how much you have me feeling so comfortable with partial fraction decomposition. When I went through Calculus 2, I learn it just enough to do the problems, but still was weak with it foundation-ally. I watched 3 videos thus far, this being the third and I feel like a pro at his stuff. You explain it OH SO WELL. I can't believe all this time I was scared by it going through my math classes, and when I hit ODE's, I needed it once again. The dread, but made it out fine.

[lilangel0072]

@chadbowman0 I took calc 2 last year...and it was easy, this also happened to be the easiest part in the whole course. Just because u found it a challenge doesn't mean it is one.